Least Common Multiple of 8089 and 8093

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 8089 and 8093 the smallest integer that is 65464277 that is divisible by both numbers.

Least Common Multiple (LCM) of 8089 and 8093 is 65464277.

LCM(8089,8093) = 65464277

LCM of 8089 and 8093

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 8089 and 8093

LCM of 8089 and 8093 is 65464277

Least common multiple can be found by multiplying the highest exponent prime factors of 8089 and 8093. First we will calculate the prime factors of 8089 and 8093.

Prime Factorization of 8089


8089 8089
1

Prime factors of 8089 are 8089. Prime factorization of 8089 in exponential form is:

8089 = 80891

Prime Factorization of 8093


8093 8093
1

Prime factors of 8093 are 8093. Prime factorization of 8093 in exponential form is:

8093 = 80931

Now multiplying the highest exponent prime factors to calculate the LCM of 8089 and 8093.

LCM(8089,8093) = 80891×80931
LCM(8089,8093) = 65464277

Factors of 8089

List of positive integer factors of 8089 that divides 8089 without a remainder.

1, 8089

Factors of 8093

List of positive integer factors of 8093 that divides 8093 without a remainder.

1, 8093

Least Common Multiple of 8089 and 8093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8089 and 8093, than apply into the LCM equation.

GCF(8089,8093) = 1
LCM(8089,8093) = ( 8089 × 8093) / 1
LCM(8089,8093) = 65464277 / 1
LCM(8089,8093) = 65464277

Properties of LCM 8089 and 8093

(i) The LCM of 8093 and 8089 is associative

LCM of 8089 and 8093 = LCM of 8093 and 8089

Frequently Asked Questions on LCM of 8089 and 8093

1. What is the LCM of 8089 and 8093?

Answer: LCM of 8089 and 8093 is 65464277.

2. What are the Factors of 8089?

Answer: Factors of 8089 are 1, 8089. There are 2 integers that are factors of 8089. The greatest factor of 8089 is 8089.

3. What are the Factors of 8093?

Answer: Factors of 8093 are 1, 8093. There are 2 integers that are factors of 8093. The greatest factor of 8093 is 8093.

4. How to Find the LCM of 8089 and 8093?

Answer:

Least Common Multiple of 8089 and 8093 = 65464277

Step 1: Find the prime factorization of 8089

8089 = 8089

Step 2: Find the prime factorization of 8093

8093 = 8093

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 65464277 = 8089 x 8093

Step 4: Therefore, the least common multiple of 8089 and 8093 is 65464277.